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How many triangles #4

January 14, 2013 by puzzler 1 Comment

1.) How many triangles do you see in this image ?

how many triangles do you see  in this image

how many triangles do you see in this image

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Answer with Solution

Looking at the symmetry, we can divide this triangle in 5 equal parts(square) and we will first count the number of triangles in each part and then number of triangles formed by combining 2 or more parts together.
Number of triangles in one square: 8(non overlapping triangles) + 8(overlapping triangles with middle lines a part of the triangle) =16*5 = 80
Number of triangles by taking two squares(one middle and one other) at a time: 4*4(there are four such combinations) = 16
Number of triangles by taking (only) three squares(one middle and two others) at a time: 4(all squares should be a part of the triangle) *4(four such combinations) = 16
Number of triangles by taking 4 squares together: 2 *4(four such combinations) = 8

Thus total number of triangles = 80 + 16 + 16 + 8 = 120.

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My tines are long

October 21, 2012 by puzzler 1 Comment

My tines are long
My tines are short
My tines end ere
My first report

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A serpent swam in a silver urn

October 20, 2012 by puzzler 1 Comment

A serpent swam in a silver urn
A golden bird did in its mouth abide
The serpent drank the water, this in turn
Killed the serpent. Then the gold bird died.

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At a recent family reunion, the family consisted of

October 10, 2012 by Ankur 1 Comment

At a recent family reunion, the family consisted of
1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 children,
3 grandchildren, 1 brother, 2 sisters, 2 sons, 2 daughters,
1 father-in-law, 1 mother-in-law, and 1 daughter-in-law.
How many minimum no. of people at the reunion?

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What starts with an “e,” ends with an “e”

September 2, 2012 by Ankur 3 Comments

What starts with an “e,” ends with an “e”
and usually contains only one letter?

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The wave, over a wave, a weird thing I saw

August 31, 2012 by Ankur 1 Comment

The wave, over a wave,
a weird thing I saw,
through-wrought,
and wonderfully ornate,
a wonder on the waves,
water became bone.
What did i see?

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My life can be measured in hours

August 31, 2012 by Ankur Leave a Comment

My life can be measured in hours,
i serve by being devoured.
Thin, i am quick; fat, i am slow.
Wind is my foe.
What am i?

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A vessel have I, that is round as a pear

August 31, 2012 by Ankur 1 Comment

A vessel have I,
that is round as a pear,
moist in the middle,
surrounded with hair,
and often it happens
that water flows there.
What am i?

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What does man love more than life

August 31, 2012 by Ankur 1 Comment

What does man love more than life,
fear more than death or mortal strife?
What do the poor have, what the rich require,
and what contented men desire?
What does the miser spend, the spendthrift save,
and all men carry to their graves?

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I fly, yet i have no wings

August 31, 2012 by Ankur 1 Comment

I fly, yet i have no wings.
I cry, yet i have no eyes.
Darkness follows me,
lower light I never see.
What am i?

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